1.<span> an environment or material in which something develops; a surrounding medium or structure.</span>
2. <span>a mold in which something, such as printing type or a phonograph record, is cast or shaped.</span>
The value of
and ![b = 5](https://tex.z-dn.net/?f=b%20%3D%205)
<u>Solution:</u>
Given, Line passes through points ![A(-6,6) = (x_1, y_1); \ B(12,3) = (x_2 , y_2)](https://tex.z-dn.net/?f=A%28-6%2C6%29%20%3D%20%28x_1%2C%20y_1%29%3B%20%5C%20B%2812%2C3%29%20%3D%20%28x_2%20%2C%20y_2%29)
Slope of line passing through two points is ![m = \frac{(y_2-y_1)}{(x_2-x_1)}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%28y_2-y_1%29%7D%7B%28x_2-x_1%29%7D)
![\rightarrow \frac{(3-6)}{(12- (-6))}](https://tex.z-dn.net/?f=%5Crightarrow%20%5Cfrac%7B%283-6%29%7D%7B%2812-%20%28-6%29%29%7D)
![\rightarrow \frac{-3}{18} = \frac{-1}{6}](https://tex.z-dn.net/?f=%5Crightarrow%20%5Cfrac%7B-3%7D%7B18%7D%20%3D%20%5Cfrac%7B-1%7D%7B6%7D)
Equation of a straight line passing through point-slope form is ![y - y1 = m (x - x1) --- (1)](https://tex.z-dn.net/?f=y%20-%20y1%20%3D%20m%20%28x%20-%20x1%29%20---%20%281%29)
Since we have two points we can use any point. Let us take
and m
and substitute in (1)
![\Rightarrow y - 6 = \frac{-1}{6 (x - (-6))}](https://tex.z-dn.net/?f=%5CRightarrow%20y%20-%206%20%3D%20%5Cfrac%7B-1%7D%7B6%20%28x%20-%20%28-6%29%29%7D)
![\Rightarrow y - 6 = \frac{-1}{6x -1}](https://tex.z-dn.net/?f=%5CRightarrow%20y%20-%206%20%3D%20%5Cfrac%7B-1%7D%7B6x%20-1%7D)
[By equating as
]
![m = \frac{-1}{6} ; b = 5](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-1%7D%7B6%7D%20%3B%20b%20%3D%205)
Substituting the other coordinates also gives the same result.
Answer:
The equation is y = 3/5x - 6
Step-by-step explanation:
First we have to find the slope of the line. In order to do so, solve the first equation for y.
3x - 5y = 7
-5y = -3x + 7
y = 3/5x + 7/-5
This gives us a slope of 3/5. Given that information, we now can plug the slope and point into point-slope form and get the final equation.
y - y1 = m(x - x1)
y - -6 = 3/5(x - 0)
y + 6 = 3/5x
y = 3/5x - 6
204 is my answer. Hope it helps.
Y=4 is the answer to your question